Finite Group Databasebeta

← Group #11711769

Character table — Group #11711769

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11111111333333334444448888888812121212121216161616161616161616161624242424242424242424242424242424
order1222222222222222444444366666664444441212121212121212121212124444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ92222222222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ10222222222222222222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000000000
χ112222222222222222-2-222-2-2-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000000000
χ122222222222222222-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000000000
χ13222-22-2-2-22222-2-2-2-2002-200222-2-22-2-2002-200000022-2-200000000000000000000
χ14222-22-2-2-22222-2-2-2-2002-200-1-1-111-111002-20033−3−3-1-11133−3−30000000000000000
χ15222-22-2-2-22222-2-2-2-2002-200-1-1-111-111002-200−3−333-1-111−3−3330000000000000000
χ16222-22-2-2-22222-2-2-2-200-2200222-2-22-2-200-22000000-2-22200000000000000000000
χ17222-22-2-2-22222-2-2-2-200-2200-1-1-111-11100-220033−3−311-1-1−3−3330000000000000000
χ18222-22-2-2-22222-2-2-2-200-2200-1-1-111-11100-2200−3−33311-1-133−3−30000000000000000
χ1922-22-22-2-222-2-222-2-22-2000022-22-2-22-22-200002-22-2000000000000000000000000
χ2022-22-22-2-222-2-222-2-22-20000-1-11-111-112-20000-11-113−33−33−33−30000000000000000
χ2122-22-22-2-222-2-222-2-22-20000-1-11-111-112-20000-11-11−33−33−33−330000000000000000
χ2222-22-22-2-222-2-222-2-2-22000022-22-2-22-2-220000-22-22000000000000000000000000
χ2322-22-22-2-222-2-222-2-2-220000-1-11-111-11-2200001-11-13−33−3−33−330000000000000000
χ2422-22-22-2-222-2-222-2-2-220000-1-11-111-11-2200001-11-1−33−333−33−30000000000000000
χ2522-2-2-2-22222-2-2-2-22200002-222-2-22-2-2200002-2000000002-2-220000000000000000
χ2622-2-2-2-22222-2-2-2-22200002-2-1-111-111-100002-23−3−33−333−3-111-10000000000000000
χ2722-2-2-2-22222-2-2-2-22200002-2-1-111-111-100002-2−333−33−3−33-111-10000000000000000
χ2822-2-2-2-22222-2-2-2-2220000-2222-2-22-2-220000-2200000000-222-20000000000000000
χ2922-2-2-2-22222-2-2-2-2220000-22-1-111-111-10000-223−3−333−3−331-1-110000000000000000
χ3022-2-2-2-22222-2-2-2-2220000-22-1-111-111-10000-22−333−3−333−31-1-110000000000000000
χ312-222-2-2-222-22-22-2-220000002-2222-2-2-20000000000000000002i−2i0000002i−2i000000
χ322-222-2-2-222-22-22-2-220000002-2222-2-2-2000000000000000000−2i2i000000−2i2i000000
χ332-22-2-222-22-22-2-222-20000002-22-2-2-22200000000000000000000002i−2i0000002i−2i00
χ342-22-2-222-22-22-2-222-20000002-22-2-2-2220000000000000000000000−2i2i000000−2i2i00
χ352-2-222-22-22-2-222-22-20000002-2-22-22-22000000000000000000002i−2i0000002i−2i0000
χ362-2-222-22-22-2-222-22-20000002-2-22-22-2200000000000000000000−2i2i000000−2i2i0000
χ372-2-2-222-222-2-22-22-220000002-2-2-2222-20000000000000000000000002-20000002-2
χ382-2-2-222-222-2-22-22-220000002-2-2-2222-2000000000000000000000000-22000000-22
χ3933333333-1-1-1-1-1-1-1-133333300000000-1-1-1-1-1-100000000000011111111-1-1-1-1-1-1-1-1
χ4033333333-1-1-1-1-1-1-1-133333300000000-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-111111111
χ4133333333-1-1-1-1-1-1-1-133-3-3-3-300000000-1-111110000000000001111-1-1-1-1-1-1-1-11111
χ4233333333-1-1-1-1-1-1-1-133-3-3-3-300000000-1-11111000000000000-1-1-1-111111111-1-1-1-1
χ4333333333-1-1-1-1-1-1-1-1-3-333-3-30000000011-1-11100000000000011-1-111-1-1-1-111-1-111
χ4433333333-1-1-1-1-1-1-1-1-3-333-3-30000000011-1-111000000000000-1-111-1-11111-1-111-1-1
χ4533333333-1-1-1-1-1-1-1-1-3-3-3-333000000001111-1-100000000000011-1-1-1-111-1-11111-1-1
χ4633333333-1-1-1-1-1-1-1-1-3-3-3-333000000001111-1-1000000000000-1-11111-1-111-1-1-1-111
χ474-444-4-4-444-44-44-4-44000000-22-2-2-22220000000000000000000000000000000000
χ484-44-4-444-44-44-4-444-4000000-22-2222-2-20000000000000000000000000000000000
χ494-4-444-44-44-4-444-44-4000000-222-22-22-20000000000000000000000000000000000
χ504-4-4-444-444-4-44-44-44000000-2222-2-2-220000000000000000000000000000000000
χ51666-66-6-6-6-2-2-2-22222006-6000000000000-22000000000000000000000000000000
χ52666-66-6-6-6-2-2-2-2222200-660000000000002-2000000000000000000000000000000
χ5366-66-66-6-6-2-222-2-2226-6000000000000-2200000000000000000000000000000000
χ5466-66-66-6-6-2-222-2-222-660000000000002-200000000000000000000000000000000
χ5566-6-6-6-666-2-22222-2-200006-6000000000000-220000000000000000000000000000
χ5666-6-6-6-666-2-22222-2-20000-660000000000002-20000000000000000000000000000
χ576-666-6-6-66-22-22-222-2000000000000000000000000000000002i−2i000000−2i2i000000
χ586-666-6-6-66-22-22-222-200000000000000000000000000000000−2i2i0000002i−2i000000
χ596-66-6-666-6-22-222-2-220000000000000000000000000000000000002i−2i000000−2i2i00
χ606-66-6-666-6-22-222-2-22000000000000000000000000000000000000−2i2i0000002i−2i00
χ616-6-666-66-6-222-2-22-2200000000000000000000000000000000002i−2i000000−2i2i0000
χ626-6-666-66-6-222-2-22-220000000000000000000000000000000000−2i2i0000002i−2i0000
χ636-6-6-666-66-222-22-22-2000000000000000000000000000000000000002-2000000-22
χ646-6-6-666-66-222-22-22-200000000000000000000000000000000000000-220000002-2

Here i is the imaginary unit (i² = −1).